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Finding the Fourth Proportional to 6,518.07, 8,996.31 and 4,159.80

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Solution

The fourth proportional to 6,518.07, 8,996.31 and 4,159.80 is: 5,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.07 : 8,996.31 = 4,159.80 : x
  2. Step 2: Convert to fraction form
    6,518.07/8,996.31 = 4,159.80/x
  3. Step 3: Cross multiply
    6,518.07x = 8,996.31 × 4,159.80
  4. Step 4: Simplify right side
    6,518.07x = 37,422,850.34
  5. Step 5: Solve for x
    x = 37,422,850.34/6,518.07
  6. Step 6: Final answer
    x = 5,741.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.